The following data represent the chemistry grades for a random sample of 12 freshmen at a certain college along with their scores on an intelligence test administered while they were still seniors in high school and also given the number of class periods missed by the 12 students taking the chemistry course. The complete data are shown. Student 1 2 3 4 5 6 7 8 9 10 11 12 Chemistry Grade, y 85 74 76 90 85 87 94 98 81 91 76 74 Test Score, x1 65 50 55 65 55 70 65 70 55 70 50 55 Classes Missed, x2 1 7 5 2 6 3 2 5 4 3 1 4 The multiple Linear Regression equation is defined as: ?̂ = ??. ? + ?. ??? ?? + ?. ??? ?? i. Calculate SS Error, SS REG, SS Total, R 2 and interpret the results? ii. Test for lack of fit of the model by the help of ANOVA table? Use α=0.05. (table value is 4.26)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The following data represent the chemistry grades for a random sample of 12 freshmen at a certain college along with
their scores on an intelligence test administered while they were still seniors in high school and also given the number of
class periods missed by the 12 students taking the chemistry course. The complete data are shown.
Student 1 2 3 4 5 6 7 8 9 10 11 12
Chemistry Grade, y 85 74 76 90 85 87 94 98 81 91 76 74
Test Score, x1 65 50 55 65 55 70 65 70 55 70 50 55
Classes Missed, x2 1 7 5 2 6 3 2 5 4 3 1 4
The multiple Linear Regression equation is defined as: ?̂ = ??. ? + ?. ??? ?? + ?. ??? ??
i. Calculate SS Error, SS REG, SS Total, R
2
and interpret the results?
ii. Test for lack of fit of the model by the help of ANOVA table? Use α=0.05. (table value is 4.26)
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